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3Using properties of trapezoidsA trapezoid is a quadrilateral with exactly one pair of parallel sides called bases.A trapezoid has two pairs of base angles. Ex. D and CAnd A and B.The nonparallel sides are the legs of the trapezoid.

4Using properties of trapezoidsIf the legs of a trapezoid are congruent, then the trapezoid is an isosceles trapezoid.

5Isosceles TrapezoidIf a trapezoid is isosceles, then each pair of base angles is congruent.A ≅ B, C ≅ D

8Isosceles TrapezoidA trapezoid is isosceles if and only if its diagonals are congruent.ABCD is isosceles if and only if AC ≅ BD.

9Midsegment of a trapezoidThe midsegment of a trapezoid is the segment that connects the midpoints of its legs.

10Theorem 6.17: Midsegment of a trapezoidThe midsegment of a trapezoid is parallel to each base and its length is one half the sums of the lengths of the bases.MN║AD, MN║BCMN = ½ (AD + BC)

11Ex. 3: Finding Midsegment lengths of trapezoidsLAYER CAKE A baker is making a cake like the one at the right. The top layer has a diameter of 8 inches and the bottom layer has a diameter of 20 inches. How big should the middle layer be?